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Finding the Third Proportional to 40,327,126,538,400 and 86,770,606,481,880

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Solution

The third proportional to 40,327,126,538,400 and 86,770,606,481,880 is: 186,701,577,710,078.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,327,126,538,400 : 86,770,606,481,880 = 86,770,606,481,880 : x
  2. Step 2: Convert to fraction form
    40,327,126,538,400/86,770,606,481,880 = 86,770,606,481,880/x
  3. Step 3: Cross multiply
    40,327,126,538,400x = 86,770,606,481,880 × 86,770,606,481,880
  4. Step 4: Simplify right side
    40,327,126,538,400x = 7,529,138,149,233,275,760,772,382,720
  5. Step 5: Solve for x
    x = 7,529,138,149,233,275,760,772,382,720/40,327,126,538,400
  6. Step 6: Final answer
    x = 186,701,577,710,078.97

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.